Okay cathey, how do your propose to count infinate days? IMHO, the song is correct grammaticly, as it is making the point that you can't count them. In other words days is intentially forced into a different form so that people like you would get a glimps of the vastness of enternity.
BTW, don't get into an arguement about infinate uncountable sets with math minors, we like this sort of thing, and will intentially drag the argument out well past any hope regaurdless of right or wrong - just for the fun of it.